Complete Labeling of G 2-Representations

被引:3
|
作者
Campoamor-Stursberg, R. [1 ]
机构
[1] IMI UCM, Madrid 28040, Spain
关键词
Racah operator; Exceptional Lie algebra; Trace formula; LIE-ALGEBRAS; INVARIANTS;
D O I
10.1007/s10773-010-0642-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A trace formula is given that simultaneously allows to obtain the Casimir operators of G (2) and the (Racah) labeling operators for generic irreducible representations. The labeling operators are shown to arise as traces operators induced by a matrix decomposition. The eigenvalue problem is analyzed for the fundamental representations of G (2).
引用
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页码:2153 / 2160
页数:8
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